All Stories

  1. Geometry of Enumerable Class of Surfaces Associated with Mylar Balloons
  2. Comparison of main geometric characteristics of deformed sphere and standard spheroid
  3. Mechanics of infinitesimal gyroscopes on helicoid-catenoid deformation family of minimal surfaces
  4. Mylar Balloon and Associated Geometro-Mechanical Moments
  5. Geometry of the Ovoids: Avian Eggs and Similar Asymmetric Forms
  6. Explicit Solutions for Geodetic Problems on the Deformed Sphere as Reference Model for the Geoid
  7. Geometry of the Ovoids: Reptilian Eggs and Similar Symmetric Forms
  8. Yet Another Mathematical Model of Eggs: Two-Parametric Brandt's Shapes
  9. λ‐spheres as a new reference model for the geoid
  10. The Geometry of the Kiepert Trefoil
  11. λ-Spheres as a New Reference Model for Geoid: Explicit Solutions of the Direct and Inverse Problems for Loxodromes (Rhumb Lines)
  12. Mechanics of incompressible test bodies moving on λ‐spheres
  13. Numerical Ranges of the Real 2×2 Matrices Derived by First Principles
  14. Explicit Solution of the Focus Locus Problem for the Harmonic Oscillator Orbits in the Plane
  15. Analytical Descriptions of Perseus Spirics
  16. A Plethora of Non-Bending Surfaces of Revolution: Classifications and Explicit Parameterizations
  17. Cayley Map for Symplectic Groups
  18. New Parameterizations of \(\mathrm{SL}(2,\mathbb{R})\) and Some Explicit Formulas for Its Logarithm
  19. Classical motions of infinitesimal rotators on Mylar balloons
  20. Mechanics of infinitesimal gyroscopes on Mylar balloons and their action‐angle analysis
  21. Explicit Parameterizations of Non-Bending Torus-Like Surfaces
  22. Further Deformations of the Axially-Symmetric Non-Bending Surfaces
  23. Rotations in ${\mathbb R}^3$ and their Parametric Representations
  24. The Rectifications of the Cassinian Ovals: Third Round
  25. The Spiric Sections of Perseus and the Uniform Parameterizations of the Cassinian Ovals
  26. Torus-Like Balloons
  27. Deformations Without Bending: Explicit Examples
  28. Explicit Description of Some Classes of Non-Bending Surfaces
  29. Some Classes of Shapes of the Rotating Liquid Drop
  30. Rotating Liquid Drops and Delaunay Surfaces
  31. Mechanics of Infinitesimal Test Bodies on Delaunay Surfaces: Spheres and Cylinders as Limits of Unduloids and Their Action-Angle Analysis
  32. Alternative Description of Rigid Body Kinematics and Quantum Mechanical Angular Momenta
  33. From the Kinematics of Precession Motion to Generalized Rabi Cycles
  34. On a Class of Linear Weingarten Surfaces
  35. The Many Faces of Elastica
  36. Factorizations in Special Relativity and Quantum Scattering on the Line
  37. Trajectories of the Plate-Ball Problem
  38. Cayley Map and Higher Dimensional Representations of Rotations
  39. Generalized Euler Angles Viewed as Spherical Coordinates
  40. Biological Membranes
  41. Exact Solutions and Applications
  42. Surface Tension and Equilibrium
  43. Equations of Equilibrium States of Membranes
  44. Planar Curves Whose Curvature Depends Only on the Distance From a Fixed Point
  45. On the geometry of the rotating liquid drop
  46. Elastic Sturmian spirals in the Lorentz-Minkowski plane
  47. Factorizations in special relativity and quantum scattering on the line II
  48. Axially Symmetric Willmore Surfaces Determined by Quadratures
  49. A New Characterization of Eulerian Elasticas
  50. Vector-Parameter Forms of SU(1,1), SL(2,R) and Their Connection to SO(2,1)
  51. Wigner rotation and Thomas precession: geometric phases and related physical theories
  52. Comment on “Shape transition of unstrained flattest single-walled carbon nanotubes under pressure” [J. Appl. Phys. 115, 044512 (2014)]
  53. Sturmian Spirals in Lorentz-Minkowski Plane
  54. On the necessary and sufficient condition for the decomposition of orthogonal transformations
  55. The Mylar Balloon: An Alternative Description
  56. Membrane fusion based on the geometry of the stalk model
  57. On the compositions of rotations
  58. Variations of (pseudo-)rotations and the Laplace-Beltrami operator on homogeneous spaces
  59. New forms of the equations of the attitude kinematics
  60. Similarity and Symmetry Methods
  61. Vector Parameters in Classical Hyperbolic Geometry
  62. Generalized Euler decompositions of some six-dimensional Lie groups
  63. Symmetries and Some Special Solutions of the Helfrich Model
  64. Lie Group Analysis of the Willmore and Membrane Shape Equations
  65. Covariant Decomposition of the Three-Dimensional Rotations
  66. A Decoupled Solution to the Generalized Euler Decomposition Problem in $\mathbb{R}^3$ and $\mathbb{R}^{2,1}$
  67. Motion of Particles in the Equatorial Plane of a Magnetic Dipole Field
  68. Elastic spirals
  69. Explicit parametrizations of Willmore surfaces
  70. Two-axes decompositions of (pseudo-)rotations and some of their applications
  71. Equilibrium Configurations of Lipid Bilayer Membranes and Carbon Nanostructures
  72. Vector Parameters in Classical Hyperbolic Geometry
  73. • Cylindrical Fluid Membranes and the Evolutions of Planar Curves
  74. • Symmetry Properties of the Membrane Shape Equation
  75. Unduloid-like Equilibrium Shapes of Carbon Nanotubes Subjected to Hydrostatic Pressure
  76. Some new results on three-dimensional rotations and pseudo-rotations
  77. New perspective on the gimbal lock problem
  78. Traveling wave solutions of the one-dimensional Boussinesq paradigm equation
  79. Vector Parameters in Classical Hyperbolic Geometry
  80. An approach for decomposition of finite rotations
  81. Serret’s Curves, their Generalization and Explicit Parametrizations
  82. Deformation of injected vesicles adhering onto flat rigid substrates
  83. Beyond Delaunay Surfaces
  84. On the Translationally-invariant Solutions of the Membrane Shape Equation
  85. Explicit Parameterization of Euler’s Elastica
  86. Conformal Immersions of Delaunay Surfaces and Their Duals
  87. Beyond Delaunay Surfaces
  88. Quantization on Curved Manifolds
  89. Deformations of Minimal Surfaces
  90. Balloons, Domes and Geometry
  91. Unduloids and their Closed Geodesics
  92. Prequantization of the Rotational Motion
  93. New Parameterizations of the Cassinian Ovals
  94. Geometry of the anisotropic minimal surfaces
  95. Analytic Description of the Viscous Fingering Interface in a Hele-Shaw Cell
  96. Geometric Symmetry Groups, Conservation Laws and Group-Invariant Solutions of the Willmore Equation
  97. The Mylar Ballon: New Viewpoints and Generalizations
  98. A Note on the Passage from the Free to the Elastica with a Tension
  99. About parametric representations of SO(n) matrices and plane rotations
  100. A Relation Between the Cylindric Fluid Membranes and the Motions of Planar Curves
  101. Vector Decompositions of Rotations
  102. On the Uncertainty Relations in Stochastic Mechanics
  103. A Mathematical Examination of Squeezing and Stretching of Spherical Vesicles
  104. A New Formula For the Exponents of the Generators of the Lorentz Group
  105. Membrane Approach to Balloons and Some Related Surfaces
  106. On the Geometry of Axisymmetric Vesicles
  107. On the Uncertainty Relations in Stochastic Mechanics
  108. Analytic description and explicit parametrisation of the equilibrium shapes of elastic rings and tubes under uniform hydrostatic pressure
  109. Vector decomposition of finite rotations
  110. Preface
  111. Preface
  112. Cell Membranes Under Hydrostatic Pressure Subjected to Micro-Injection
  113. Analytic Description of the Equilibrium Shapes of Elastic Rings Under Uniform Hydrostatic Pressure
  114. On Some Deformations of the Cassinian Oval
  115. Travelling Waves for Some Generalized Boussinesq Type Equations
  116. Analytic Description of the Equilibrium Shapes of Elastic Rings Under Uniform Hydrostatic Pressure
  117. Cell Membranes Under Hydrostatic Pressure Subjected to Micro-Injection
  118. Traveling Wave Solutions of the Gardner Equation and Motion of Plane Curves Governed by the mKdV Flow
  119. On Some Deformations of the Cassinian Oval
  120. On the Plane Curves whose Curvature Depends on the Distance from the Origin
  121. Some Explicit Solutions of the Shape Equation
  122. Instability of Protein Drops via Applied Electric Field: Mathematical and Experimental Aspects
  123. On the Whewell Parametrization of the Euler Elastica
  124. Cylindrical equilibrium shapes of fluid membranes
  125. On The intrinsic equation behind the Delaunay surfaces
  126. ON THE ALGEBRAIC ASPECTS OF SAXON-HUTNER THEOREM
  127. An approach to reduction of the real symmetric 3 × 3 secular problem and applications
  128. New Geometrical Applications of the Elliptic Integrals: The Mylar Balloon
  129. The Mylar Balloon Revisited
  130. The Mylar Balloon Revisited
  131. New solutions of the shape equation
  132. Quantization on curved surfaces
  133. Reduction in stages and complete quantization of the MIC-Kepler problem
  134. Geometry of the Saxon-Hutner theorem
  135. The matrizant and Saxon - Hutner theorem
  136. Saxon-Hutner theorem via matrix exponential
  137. Kirkwood's formula revisited
  138. On the Spectrum of the Geodesic Flow on Spheres
  139. Quantization and Infinite-Dimensional Systems
  140. On Debye-Hückel's Theory
  141. Quantization of the moment map of coupled harmonic oscillators
  142. GROUP REPRESENTATIONS AND QUANTIZATION OF THE MOMENTUM MAP
  143. Geometric quantization of the five-dimensional Kepler problem
  144. Reductions and quantization
  145. An extension of the Saxon-Hutner theorem in the relativistic domain
  146. Generalization of the Saxon-Hutner Theorem in the Relativistic Domain
  147. Scattering of charged particles off dyons
  148. Geometric quantisation of the MIC-Kepler problem
  149. Geometric quantization of the multidimensional Kepler problem
  150. Method for computing the characteristic polynomial
  151. 12. A quantum mechanical study on hormonal steroids
  152. On the Decomposition of an Infinitesimal Group
  153. Geometric quantization of the Kepler problem with a magnetic charge